Question

Hello,

I'm starting the first problem set (for multi-variable calculus), Vector Problems. I don't understand how to answer questions 3 and 4.

I strongly suspect you use the answer to 3 in the answer to question 4.

How do you use vectors to prove the 'diagnals' of a parallelagram will intersect at the mid-point?

Answer 1

area(tringle ABO)=area(tringleADO)
so,(.5)*|OA CROSS OB|=(.5)*|OA CROSS OD| BY THIS YOU WILL GET OB=OD,SIMILARLY OA=OC